Gauge Theory of Elementary Particle Physics,9780198519614

Gauge Theory of Elementary Particle Physics

by ;
ISBN13: 9780198519614
ISBN10: 0198519613
Format: Paperback
Pub. Date: 1988-01-07
Publisher(s): Oxford University Press
List Price: $223.99

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Summary

This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well

Table of Contents

PART I
Basics in field quantization
Review of canonical quantization formalism
4(7)
Introduction to path integral formalism
11(11)
Fermion field quantization
22(9)
Introduction to renormalization theory
Conventional renormalization in λ &phis; theory
31(8)
BPH renormalization in λ &phis; theory
39(6)
Regularization schemes
45(11)
Power counting and renormalizability
56(11)
Renormalization group
Momentum subtraction schemes and the Callan-Symanzik equation
67(10)
The minimal subtraction scheme and its renormalization-group equation
77(4)
Effective coupling constants
81(5)
Group theory and the quark model
Elements of group theory
86(4)
SU(2) and SU(3)
90(12)
The tensor method in SU(n)
102(11)
The quark model
113(13)
Chiral symmetry of the strong interaction
Global symmetries in field theory and current commutators
126(8)
Symmetry currents as physical currents
134(7)
Spontaneous breaking of global symmetry, the Goldstone theorem
141(10)
PCAC and soft pion theorems
151(9)
Pattern of chiral symmetry breaking
160(9)
Renormalization and symmetry
The vector-current Ward identity and renormalization
169(4)
Axial-vector-current Ward identity anomaly and π0 ← 2y
173(9)
Renormalization in theories with spontaneous symmetry breaking
182(7)
The effective potential and radiatively induced spontaneous symmetry breakdown
189(10)
The Parton model and scaling
The parton model of deep inelastic lepton-hadron scattering
199(9)
Sum rules and applications of the quark-parton model
208(10)
Free-field light-cone singularities and Bjorken scaling
218(11)
PART II
Gauge symmetries
Local symmetries in field theory
229(6)
Gauge invariance and geometry
235(5)
Spontaneous breaking of gauge symmetry, the Higgs phenomenon
240(8)
Quantum gauge theories
Path-integral quantization of gauge theories
248(9)
Feynman rules in covariant gauges
257(10)
The Slavnov-Taylor identities
267(13)
Quantum chromodynamics
The discovery of asymptotic freedom
280(11)
The QCD Lagrangian and the symmetries of the strong interaction
291(4)
Renormalization group analysis of scaling and scaling violation
295(16)
The parton model and perturbative QCD
311(11)
Lattice gauge theory and colour confinement
322(14)
Standard electroweak theory I: basic structure
Weak interactions before gauge theories
336(3)
Construction of the standard SU(2) x U(1) theory
339(16)
Fermion family replication
355(9)
Standard electroweak theory II: phenomenological implications
Flavour-conserving neutral-current processes
364(7)
Weak mixing angles, the GIM mechanism, and CP violation
371(15)
The W and Z intermediate vector bosons
386(8)
The Higgs particle
394(7)
Selected topics in quantum flavourdynamics
Dynamical symmetry breaking and technicolour models
401(8)
Neutrino masses, mixings and oscillations
409(11)
μ ← ey, An example of Rξ gauge loop calculations
420(8)
Grand unification
Introduction to the SU(5) model
428(6)
Spontaneous symmetry breaking and gauge hierarchy
434(3)
Coupling constant unification
437(5)
Proton decay and baryon asymmetry in the universe
442(5)
Fermion masses and mixing angles in the minimal SU(5) model
447(6)
Magnetic monopoles
Dirac's theory of magnetic poles
453(7)
Solitons in field theory
460(6)
The 't Hooft-Polyakov monopole
466(10)
Instantons
The topology of gauge transformations
476(6)
The instanton and vacuum tunnelling
482(5)
Instantons and the U(1) problem
487(7)
Appendix A Notations and conventions 494(4)
Appendix B Feynman rules 498(15)
Bibliography 513(4)
References 517(10)
Subject Index 527

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